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Worlds of the OEBP

The "world" of a Bongard Problem is the type of thing the Bongard Problem sorts.

BP000005
A Bongard Problem


The world of this Bongard Problem is single shape outline.
                     
BP000003
A Bongard Problem


The world of this Bongard Problem is single shape, either filled or outlined.


The OEBP has given names to some commonly occurring pools of objects. For example, we called the world of the top-left Problem on this page "shape_outline". (See that link if you aren't yet convinced there can be a pool of objects so commonly occurring in Bongard Problems that it is worth naming.)

A series of Bongard Problems may successively narrow a pool of examples further and further based on finer and finer rules.

A series of Bongard Problems

In this picture, each Bongard Problem's world is the right hand side of the Bongard Problem to its left.

On the OEBP one can quickly create new names for pools of objects and assign them to any Bongard Problem's left hand side, right hand side, or whole. The OEBP also has a feature for keeping track of which worlds include one another as subsets. In this way, it is possible to indicate (for example) when the right-hand side of one Bongard Problem includes the world of another Bongard Problem, and it is possible to navigate the website by successively zooming in on finer and finer rules (as above).

NOTICE: Currently only administrators are able to add worlds to Bongard Problems or indicate which worlds are subsets of which others. This should change in the future.


A Bongard Problem

What is the "world" of this Bongard Problem?


There is ambiguity in declaring the "world" of a Bongard Problem, just as there is ambiguity in determining the solution to a Bongard Problem. For example, is the world above "black polygons" or it it "black triangles and quadrilaterals"? Someone seeing all the images together might notice all the shapes are specifically triangles and quadrilaterals, or that specificity might not leap out as important.

We generally prefer to label Bongard Problems with whatever world is the most specific reasonable one, but it is okay to specify more than one world in particularly ambiguous cases. (However, do not arbitrarily label pages with worlds that are intuitively way too big; the world of the above Bongard Problem is not just "pictures".)

Worlds are narrow rules.

NOTICE: It would be helpful if someone could add .svg vector-graphics versions of images, in addition to the traditional hand-drawn bitmap files, to Problems with worlds relating to shapes and geometry. (But some visual Bongard Problems may be inherently about bitmap images.) See BP913 for related discussion.
Table of types of things Bongard Problems can sort.
World
2dset
2_fill_shapes
2_shapes
3d_solid_net
3_dots_on_square_grid
3_dot_clusters
3_or_4_points
5_dots
6_dots
arial_font_centered_connected_symbol
arial_font_centered_connected_symbol_two_ends
arial_font_centered_symbol
arial_font_symbols
arial_font_two_symbols
bdimage_shapes_extra_below
bdimage_shapes_extra_below_clear_sort
black_and_white_face_photograph
black_and_white_photograph
black_image
black_or_white_pixel
black_pixel
blank_image
bmp
bongard_hell
boxes_bdimage_six_per_side_extra_below
boxes_bdimage_six_per_side_extra_below_clear_sort
boxes_bpimage
boxes_bpimage_sorts_self
boxes_bpimage_sorts_self_incarnation_dependent
boxes_bpimage_sorts_self_left
boxes_bpimage_sorts_self_right
boxes_bpimage_three_per_side
boxes_bpimage_three_per_side_nosoln_allowed
boxes_dots_bpimage_clear_set_of_numbers
bp
bp902
bp953_image
bpimage
bpimage_shapes
bpimage_shapes_exact_sort
bpimage_shapes_exact_sort_no_midway
bpimage_shapes_nosoln_allowed
bpimage_shapes_quantity_soln
bppage
bp_infinite_left_examples
bp_infinite_right_examples
bp_in_own_world
bp_with_infinite_posible_examples
bp_with_uncountable_possible_examples
circles_cross
circle_eq-tri_small_some_outline_some_fill
circle_square_eq-tri_small_outlines
circle_square_eq-tri_small_outlines_one_fill
circle_square_eq-tri_small_some_outline_some_fill
circle_triangle_outlines
circle_triangle_outlines_nest
circle_triangle_squareish_outlines
collection_of_objects_same_type
color_street_photograph
concave_fill_shape
connected_built_from_self_tile_fractals
connected_fractal
connected_fractal_self_tile
connected_graph
constant_change_discrete_seq_increase_right
constant_change_seq_fractal_iterate_right
constant_change_seq_increase_right
constant_change_seq_increase_right_lower_bound
constant_change_seq_increase_right_low_bound_obj
constant_change_seq_loop_right
correspondence_bp
crosscurve
crosscurves
cross_outlines
cube_net
curve
curves_and_fill_shapes_drawing
curves_and_fill_shapes_separate_drawing
curves_drawing
curve_or_outline
curve_tree
curve_tree_one_branch_per_side
curve_tree_one_level
disconnected_graph
dots
dotslike
dots_and_outline_three_are_nested
dot_clusters
dot_clusters_sequence_horizontal
dot_outlines
dot_outlines_and_larger_outline_nest
dot_with_lines_or_curves
elongated_outline
elongated_shape_one_small_elongated_centered_hole
everything
figure_made_of_curves
figure_made_of_curves_and_quotient_by_hollow_dots
figure_made_of_segments
fill_convex_polygon
fill_polygon
fill_quadrilateral
fill_shape
fill_shapes
fill_shape_seeing_point_center_of_mass_inside
fill_shape_white_dot
fill_shape_with_seeing_point
four_dots
four_dot_outlines
fractal
fractal_self_tile
fractal_self_tile_affine_allowed
function_graph_black_below_white_above
gears
graph
grid_of_images_with_rule
grid_of_images_with_rule_one_on_edge_missing
grid_of_operations
half_turn_invariant_bp_image_3_per_side
handed_visualbp
help_bp
horizontal_flip_invariant_bp_image_three_per_side
horizontal_line_segment
keyword
knot
left_countably_infinite_bp
left_uncountable_bp
link
linksbp
link_two_knots
mediumsize_centered_outline
metabp
metaconcept
metametabp
miniproblemsmetabp
nest_outlines
nest_shapes
nothing
no_box_bpimage_three_drawings_per_side
oblong_axis_aligned_figure_made_of_curves
oblong_boxes_bpimage_sorts_both_sides_left
oblong_boxes_bpimage_sorts_both_sides_right
oblong_boxes_bpimage_sorts_both_sides_skewed
oblong_panels_bpimage
oblong_panels_bpimage_sorts_both_sides
oblong_panels_bpimage_sorts_both_sides_balanced
oblong_panels_bpimage_sorts_both_sides_stay
oblong_panels_bpimage_sorts_both_sides_swap
oblong_rectangular_arrangement_of_white_pixels
one_circle_one_eq-tri_small_outlines
one_circle_one_square_one_eq-tri_small_outlines
one_circle_outline_one_triangle_outline_nest
ordered_triplet_comparison_bp
outlines
outline_or_fill_circle
outline_or_fill_circles_same_size
outline_or_fill_circle_bp
outline_or_fill_circle_bp_clear_set_of_ratios
outline_or_fill_shape
perfect_bp
planar_connected_graph
points
point_clusters
point_inside_square
polygon
polygon_net
polygon_outline
polygon_outlines_sharing_edges
polygon_outline_or_fill
polyhedron_net
polyhedron_net_unique_solid
pseudoshape
quadrilateral_outline
quantity_change_seq_increase_right
quantity_change_seq_increase_right_noise_allowed
quantity_vary_seq_noise_allowed
rectangle_or_ellipse_outline_axis_aligned
rectangular_arrangement_of_black_pixels
rectangular_arrangement_of_white_pixels
recursive_boxes
recursive_boxes_bp
right_countably_infinite_bp
right_uncountable_bp
rigid_planar_connected_graph
segments
segments_cross
sequence_visualbp
several_small_misc
shape
shapes
shapes_can_touch_box
shape_can_touch_box
shape_center_of_mass_falls_inside
shape_one_hole
shape_outline
small_outline
small_outlines
smooth_crosscurve
smooth_crosscurves
spectrum_bp
spiral
square_arrangement_of_white_pixels
square_outlines_sharing_edges
three_points
three_segments
triangle_or_quadrilateral_outline_or_fill
triplet_comparison_bp
two_dot_clusters
two_figures_made_of_curves
two_homeomorphic_figures_made_of_curves
two_outlines
two_segments
two_shapes
varied_thickness_curves_drawing
visualbp
wallpaper
wallpaper_tiling
wallpaper_tiling_1_polygon
wave_horizontal_increase_or_decrease
white_pixel

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